You are on the Arithmetic Reasoning section.
Q: If 12 men are needed to run 4 machines. How many men are needed to
run 20?
A. 24
B. 48
C. 60
D. 80

Answers

Answer 1

Answer:that will be c 60

Step-by-step explanation: Because 12/4 but than the machines turn to 20 so 4x5 equals 20 so you got to do it to both sides

12x5=60 so its 60 men to run 20 machines


Related Questions

QUESTION IS DOW BELOW 15 POINTS EACH PLEASE HELP PLEASE HELP PLEASE HELP
WILL GIVE BRAINLIEST FOR ACCURATE ANWSER

Answers

a. Applying the angle of intersecting chord theorem, m∠AEB = 57°.

b. Applying the , angle of intersecting tangents or secants theorem, VW = 106°.

What is the Angle of Intersecting Chords Theorem?

According to the angle of intersecting chord theorem, the angle formed inside a circle (i.e. angle AEB) by two chords (i.e. AC and BD) have a measure that is equal to half of the sum of the measures of intercepted arcs AB and CD.

What is the Angle of Intersecting Tangents or Secants Theorem?

According to the angle of intersecting tangents or secants theorem, the angle formed outside a circle (i.e. angle VZW) have a measure that is equal to half of the positive difference of the measures of intercepted arcs XY and VW.

a. m∠AEB = 1/2(measure of arc AB + measure of arc CD) [angle of intersecting chord theorem]

Substitute

m∠AEB = 1/2(53 + 61)

m∠AEB = 57°

b. 35 = 1/2(VW - 36) [angle of intersecting tangents or secants theorem]

Multiply both sides by 2

2(35) = VW - 36

70 = VW - 36

Add 36 to both sides

70 + 36 = VW

VW = 106°

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Write the ratio 6 sodas out of 16 drinks.

Answers

Answer:

3:8 3 sodas for 8 drinks

Step-by-step explanation:

6/16

3/8

6:16 is the answer because all u do is put how many there is out of the number of the sodas there are in total

(a+b)² - 11(a+b) -42
pls show the work​

Answers

Answer:

(a+b)² - 11(a+b) -42

Step-by-step explanation:

Thoughtfully split the expression at hand into groups, each group having two terms,

Group 1:  -11b-11a 

Group 2:  a2+2ab 

Group 3:  b2-42 

Pull out from each group separately :

Group 1:   (a+b) (-11)

Group 2:   (a+2b) (a)

Group 3:   (b2-42) (1)

Looking for common sub-expressions :

Group 1:   (a+b) (-11)

Group 3:   (b2-42) (1)

Group 2:   (a+2b) (a)

final answer:(a+b)² - 11(a+b) -42

Answer:

(a+b+3)(a+b-14)

Step-by-step explanation:

let a+b be x,

= x²-11x-42

=x²-(14-3)x-42

=x²-14x+3x-42

=x(x-14)+3(x-14)

=(x+3)(x-14))

replacing x by a+b,

=(a+b+3)(a+b-14)

Which of the following is NOT part of a scatter plot graph?


Key


Source


Labels


Scale




Which of the following is the scale on each axis based on?


Averages


Percents


Data


Number of data poin




The first step in the area method to estimate the line of best fit is to ______.


divide the data points equally with a horizontal line


draw a line around all of the data points


place two x's centered in each half of the data points


divide the data points equally with a vertical line

Answers

The complete statements are:

The Key is not part of a scatter plotThe scale on the axes of a scatter plot is based on the number of data pointsThe first step in the area method to estimate the line of best fit is to draw a line around all of the data points

How to complete the statements

Part of a scatter plot

The parts of a scatter plot are

LabelSourceScaleThe dataThe axes

This means that the Key is not part of a scatter plot

The scale on the axes

Here, the scale is determined by the number of data points that exists on the scatter plot

This means that scatter plots that have 10 and 100 data points might not be represented on the same scale

The line of best fit

This is determined by drawing a line through the data points on the scatter plot.

The line is know as the line of best fit

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A pail holds 3 1/2 gallons of water. How much is this in cups?

Answers

3.5 gallons
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups

3.5 * 4 * 2 * 2 = 56 cups

20 is 50% of what number? If necessary, round to the nearest tenth.

Answers

Answer:

20 is 50% of 40.

Step-by-step explanation:

1% = 1/100

50% = 50/100 or 1/2

1/2 = 20/n

1*20/2*20 = 20/n

20/40 = 20/n

n = 40

What is the best estimated volume of the figure?
can anyone solve this for me with a detailed explanation step by steps and reasoning so i can grasp concepts

Answers

The answer is 756 m³.

The formula to find volume is : length × width × height

To estimate, round each dimension to the nearest whole number.

⇒ 12.3 ≅ 12

⇒ 7.2 ≅ 7

⇒ 8.6 ≅ 9

Volume = 12 × 7 × 9

Volume = 84 × 9

Volume = 756 m³

Answer:

The ans to this question is 756 which is Option (B)

Step-by-step explanation:

Estimate volume = rounding every digit

= 12.3 = 12

= 7.2 = 7

= 8.6 = 9

= 12x7x9 = 756

Amanda works as a waitress. She earns $50 a day plus 75% of the tips her customers leave.(The rest of the tips go to the kitchen
staff and bussers.) The table of values represents Amanda's earnings on different days. Write a linear equation that represents
the relationship between earnings and tips.
Tips ($)
20.00
50.00
100.00
Total Earnings ($)
65.00
87.50
125.00

Answers

Earns 75% of tips plus 50 each day
y = earnings, x = total tips
y = 0.75x + 50

Check:

(20,65)
65 = 0.75(20)+50
65 = 15+50
65=65

(50,87.5)
87.5 = 0.75(50)+50
87.5 = 37.5+50
87.5=87.5

(100,125)
125 = 0.75(100)+50
125 = 75+50
125=125

The linear equation that represents the relationship between earnings and tips will be y = 0.75x + 50.

What is a linear equation?

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Working as a waitress is Amanda. She receives $50 every day in addition to 75% of the tips her clients leave.

Let 'x' be the tip amount and 'y' be the total earning.

y = 0.75x + 50

Check:

At (20,65), then we have

65 = 0.75(20)+50

65 = 15+50

65=65

At (50,87.5), then we have

87.5 = 0.75(50)+50

87.5 = 37.5+50

87.5=87.5

At (100,125), then we have

125 = 0.75(100)+50

125 = 75+50

125=125

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Which expression shows the factored form of 49x² - y²?

Answers

Step-by-step explanation:

49x^2-y^2

=(7x)^2-(y)^2

=(7x+y) (7x-y)

Therefore, a^2-b^3

=(a+b) (a-b)

Enter the letter for the function graphed
below.
1
a) y = √x - 5
b) y = √√√x-5
c)y=5-√√x
d) y = √x +
e) y = √√√x +

Answers

Answer:

  e)  y = √(x) +5

Step-by-step explanation:

The graph shown is the graph of the square root function shifted upward 5 units. There is no translation left or right.

Translated function

A function can be translated h units right and k units up by the following:

  g(x) = f(x -h) +k

Translated square root

When the function is f(x) = √x, and it is translated 5 units up, but none left or right, we have ...

  g(x) = f(x-0) +5

  y = √(x) +5 . . . . . . matches choice e

URGENT!!!!!!

Use arrow notation to describe the translation of point P(–5, –4) to point P′(–8, –7).

Answers

The rule of the translation of point P(–5, –4) to point P′(–8, –7) is:

(x,y) -> (x - 3, y - 3).

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

In this problem, from point P to point P', 3 was subtracted from both the x-coordinate and the y-coordinate, hence the rule is given by:

(x,y) -> (x - 3, y - 3).

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HELP PLS BRAINLIEST IF POSSIBLE

Answers

For the given set A, A is a set of x, where x depends on n. x= 11, where the values of n in ascending order are 1,2,3,4.

Simply put, a set in mathematics is a grouping of different items.

An element of the set is any component of the set. When writing a set, curly brackets are utilized.

The components of a set can be represented using a variety of notations. Typically, sets are represented using a set builder form or a roster form.

According to the question,

A = {11,22,33,44}

The elements of set A are all multiples of 11. These can be expressed as 11*n, here, n has the values of 1,2,3 and 4.

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The coordinates of point A on a coordinate grid are (−2, −3). Point A is reflected across the y-axis to obtain point B and point A is reflected across the x-axis to obtain point C. What are the coordinates of points B and C?

B(2, 3) and, C(−2, −3)
B(−2, −3) and C(2, 3)
B(2, −3) and C(−2, 3)
B(−2, 3) and C(2, −3)

Answers

Answer:  B(2, -3) and C(-2, 3) which is choice 3

Further Explanation:

The rule for a y-axis reflection is [tex](\text{x}, \text{y}) \to (-\text{x}, \text{y})[/tex] meaning the x coordinate flips from positive to negative, or vice versa. The y coordinate stays the same.

Therefore, point A(-2,-3) moves to B(2, -3) when reflecting over the y-axis.

A similar rule is [tex](\text{x}, \text{y}) \to (\text{x}, -\text{y})[/tex] to describe an x-axis reflection. This time the y coordinate flips in sign, and the x coordinate stays the same.

In this case, we move from A(-2,-3) to C(-2, 3)

The graph of all three points is shown below. I used GeoGebra to make the graph, but Desmos is another option. I also recommend graphing by hand on graph paper to get practice that way if possible.

what’s the volume of the sphere

Answers

Answer:

[tex]\pi[/tex]([tex]r^{2}[/tex]h)

Step-by-step explanation:

r = radius

h = height

need heeeelp please ​

Answers

Answer:

[tex]\dfrac{3x+6}{x^2+x-6}[/tex]

Step-by-step explanation:

Notice that we can factor the expression [tex]x^2-x-2[/tex] as [tex](x-2)(x+1)[/tex]. Similarly, we can express [tex]3x+3[/tex] as [tex]3(x+1)[/tex]. Now, we can multiply the fraction together as [tex]\dfrac{(x+2)(3)(x+1)}{(x-2)(x+1)(x+3)} = \dfrac{3(x+2)}{(x-2)(x+3)} = \boxed{\dfrac{3x+6}{x^2+x-6}}[/tex].

which theorem can be used to show that LJKL is the same as LMNP
a. AA similarity
b. SSS similarity
c. ASA similarity
d. SAS similarity

Answers

Answer is a. AA Similarity
Reason

In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar . (you can find the congruent missing angles using the Angle Sum Theorem, all three angles add up to 180.)

Note: SSS is three congruent sides, ASA is angle side angle congruent with an included side and SAS is side angle side, none of these are true for this figure

A plant is 30cm tall when planted in a garden it increases by 10 percent each week how long will it take to reach 1 meter

Answers

Answer:

12.63 weeks ~~ 13 weeks

Step-by-step explanation:

This is much like a banking question with compounded interest

FV = PV ( 1 + i)^n       FV = Future value = 1 m   PV = present value = .3

                                     i = periodic interest = .10     n = periods

1 = .3(1 + .1)^n      solve for n = the number of weeks

1/.3   = 1.1^n

log (1/.3) / log 1.1  = n = 12.63 weeks

Prob around 12 weeks. Just times it by 1.01 and keep repeating it

Perform the following mathematical operation, and report the answer tot he correct number of significant figures 0.396/0.5

Answers

Answer:

answer 0.8

Step-by-step explanation:

Solution

0.396 has 3 significant digits

0.5      has 1 significant digit.

Therefore the answer should be 1 significant digit.

0.396 / 0.5 = 0.792

Rounded to 1 sig dig, the answer = 0.8

A chemical company makes two brands of antifreeze. The first brand is 30% pure antifreeze and the second brand is 55% pure antifreeze. In order to obtain 160 gallons of a mixture that contains 45% pure antifreeze, how many gallons of each brand of antifreeze must be used?

Answers

Answer:

64 gallons 30%96 gallons 55%

Step-by-step explanation:

The amount of each brand can be found by writing and solving an equation that makes use of the given relations.

Setup

Let x represent the quantity of 55% pure antifreeze needed in the mixture. Then the quantity of the 30% brand is (160-x). The amount of pure antifreeze in the mixture is ...

  0.55x +0.30(160 -x) = 0.45(160)

Solution

Subtracting 0.30(160), we have ...

  x(0.55 -0.30) = 160(0.45 -0.30)

  x = 24/0.25 = 96 . . . . . simplify, divide by the coefficient of x

96 gallons of the 55% brand, and 64 gallons of the 30% brand must be used.

__

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I really need your help ASAP!

Answers

Answer:

Option 4

Step-by-step explanation:

See the attached image.

What insult is meat shield I never understood it if someone calls a person a meat shield what does the insult mean

Answers

Answer: someone who is viewed as obsolete or a person you can use to save yourself from any problem/situation

Step-by-step explanation:

Answer:

The term "meat shield" is often used as an insult to refer to someone who is used by others as a protective barrier, especially in a dangerous or violent situation. The implication is that the person being referred to is expendable and not valued for their own merits or abilities.

Here are a few examples of insults that use the term "meat shield":

"You're nothing more than a meat shield for your boss."

"You're just a disposable meat shield to your friends."

"You're nothing but a human meat shield to your team."

"You're just a weak and pitiful meat shield."

"You're just a coward who hides behind others like a meat shield."

Again, it's important to remember that using insults is never a productive or kind way to communicate with others. It's always better to try to address the issue in a respectful and constructive manner.

Colby needs to wash the windows on the second floor of a building.
He only has a 12 ft ladder and because of dense shrubbery, he hasto put the base of the ladder 5 feet from the building. How many feet above the ground would the windows need to be in order for Colby to reach them with his 12 ft ladder?

Answers

If the length of ladder is 12 feet then the height of windows from the ground is 10.91 feet.

Given that the length of ladder is 12 feet and the base is 5 feet.

We are required to find the height of the windows from the ground.

When we graph all the things like ladder and all that we will get a right angled triangle.

We can find the height of window by using pythagoras theorem.

Pythagoras theorem says that the square of the hypotenuse is equal to sum of squares of base and perpendicular of right angled triangle.

[tex]H^{2} =P^{2} +B^{2}[/tex]

P=[tex]\sqrt{H^{2} -B^{2} }[/tex]

Height of wall=[tex]\sqrt{12^{2} -5^{2} }[/tex]

=[tex]\sqrt{144-25}[/tex]

=[tex]\sqrt{119}[/tex]

=10.908

After rounding off it will be 10.91 feet.

Hence if the length of ladder is 12 feet then the height of windows from the ground is 10.91 feet.

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NEED HELP QUICK
Select the correct answer.
Firewood can be sold in cords. The wood is cut into equal lengths and stacked evenly in a rack.

Which geometric shape can be used as a model to calculate the volume of the cord of wood?

A.
cylinder
B.
pyramid
C.
rectangular prism
D.
cone

Answers

C. Rectangular prism

The volume of a rectangular prism is measured as length * width * height which can be used as a model for calculating the volume of the cord.

The volume of the cord of wood will be similar to the volume of a rectangular prism. Then the correct option is C.

What is a rectangular prism?

A closed solid with two parallel rectangular bases joined by a rectangle surface is known as a rectangular prism.

The rectangular prism is the most typical geometric form used to approximate the volume of a cord of wood.

The wood is evenly cut into identical lengths, and when stacked, it forms a rectangular prism.

Therefore, C. rectangular prism is the right response.

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Solve the following equation:
[tex]z {}^{4} + z {}^{2} - i \sqrt{3} = 0[/tex]
Note that:
[tex]i = \sqrt{ - 1} [/tex]
× Irrelevant answers will be blocked and reported.​

Answers

Complete the square.

[tex]z^4 + z^2 - i\sqrt 3 = \left(z^2 + \dfrac12\right)^2 - \dfrac14 - i\sqrt3 = 0[/tex]

[tex]\left(z^2 + \dfrac12\right)^2 = \dfrac{1 + 4\sqrt3\,i}4[/tex]

Use de Moivre's theorem to compute the square roots of the right side.

[tex]w = \dfrac{1 + 4\sqrt3\,i}4 = \dfrac74 \exp\left(i \tan^{-1}(4\sqrt3)\right)[/tex]

[tex]\implies w^{1/2} = \pm \dfrac{\sqrt7}2 \exp\left(\dfrac i2 \tan^{-1}(4\sqrt3)\right) = \pm \dfrac{2+\sqrt3\,i}2[/tex]

Now, taking square roots on both sides, we have

[tex]z^2 + \dfrac12 = \pm w^{1/2}[/tex]

[tex]z^2 = \dfrac{1+\sqrt3\,i}2 \text{ or } z^2 = -\dfrac{3+\sqrt3\,i}2[/tex]

Use de Moivre's theorem again to take square roots on both sides.

[tex]w_1 = \dfrac{1+\sqrt3\,i}2 = \exp\left(i\dfrac\pi3\right)[/tex]

[tex]\implies z = {w_1}^{1/2} = \pm \exp\left(i\dfrac\pi6\right) = \boxed{\pm \dfrac{\sqrt3 + i}2}[/tex]

[tex]w_2 = -\dfrac{3+\sqrt3\,i}2 = \sqrt3 \, \exp\left(-i \dfrac{5\pi}6\right)[/tex]

[tex]\implies z = {w_2}^{1/2} = \boxed{\pm \sqrt[4]{3} \, \exp\left(-i\dfrac{5\pi}{12}\right)}[/tex]

19 ft
4 ft
l
Find l.
l = √ [?] ft

Answers

Answer :LF is the abbreviation for linear feet Sq ft is the abbreviation for square feet L – lenght (e.g. room length) W – width (e.g. room width)

Liters to Cubic Feet formula. ft³ =. L * 0.035315. Show working Show result in exponential format More information: Cubic Feet.

Step-by-step explanation:

The cone creates a triangle. Let the hypotenuse be L which we are trying to solve for. The vertical side is 9 feet. The horizontal side is half the diameter or 2 feet.

2^2 + 9^2 = L^2
4 + 81 = L^2
85 = L^2
L = square root of 85

What is the answer to this equation?

Answers

Answer:W ^10

Step-by-step explanation:

The solution is in the

Kelsey is looking for a job cutting hair. One option is self-employment at The Oakland Salon, where she would pay $400 per month to rent a station and keep all of her earnings. Another option is to work at a franchise, where she would just have to pay the salon $4 for every haircut. If she performed a certain number of haircuts every month, the amount paid to either salon would be the same. How much would Kelsey pay?

Answers

she will have 100 hair cuts to work at a franchise to have the same amount paid for rent.

How to find the amount paid to either salon that is equal?

she would pay $400 per month to rent a station and keep all of her earnings.

Another option is to work at a franchise, where she would just have to pay the salon $4 for every haircut.

Therefore,

let

x = number of haircut

Hence,

4x = 400

divide both sides by 4

4x / 4  = 400 / 4

x = 100

Therefore, she will have 100 hair cuts to work at a franchise to have the same amount paid for rent.

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Elena is 56 inches tall. (Note: 100 inches = 254 centimeters)
Round your answers to the nearest thousandth. Type the answers in the boxes below.
1. What is her height in centimeters? centimeters
2. What is her height in meters?

Answers

Elena's height in centimeters is 142.24 cm.

Elena's height in meters is 1.42 meters.

What is Elena's height in centimeters and meters?

The mathematical operations that would be used to determine the answers ae division and multiplication.

Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷. Multiplication is the operation that is used to determine the product of two or more numbers.

In order to determine the height in centimeters, first determine how many cenitmeters make 1 inch

1 inch = 254 / 100

1 inch = 2.54 cm

Now, convert 56 inches to cm : 56 inches x 2.54 = 142.24 cm

In order to determine the height in meters, first find the unit of conversion of inches to meters

1 inch = 0.0254 meters

0.0254 x 56 = 1.42 meters

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A manufacturer has a steady annual demand for 22,638 cases of sugar. It costs ​$7 to store 1 case for 1​ year, ​$33 in set up cost to produce each​ batch, and ​$15 to produce each case. Find the number of cases per batch that should be produced to minimize cost

Answers

The number of cases per batch that the manufacturer should produce to minimize cost is 462 cases per batch.

How can inventory costs be minimized?

To minimize inventory costs, especially setup and holding costs, the economic order quantity (EOQ) technique is deployed.

The EOQ model refers to the ideal order or batch quantity a company should purchase per order or produce per batch to minimize its inventory costs.

Some of a company's inventory costs include holding costs, shortage costs, setup, and ordering costs.

Using the EOQ model shows the ideal minimum units that the manufacturer should produce per batch to minimize costs.

The EOQ formula is square root of: [2(setup costs)(demand rate)] / holding costs.

Data and Calculations:

Annual demand = 22,638 cases

Storage cost per case = $7

Setup cost per batch = $33

Product unit cost = $15 per case

EOQ = square root of: [2(setup costs)(demand rate)] / holding costs.

= square root of 2 x $33 x 22,638/$7

= square root of 213,444

= 462

Number of batches = 49 (22,638/462)

Thus, the number of cases per batch that the manufacturer should produce to minimize cost is 462 cases per batch.

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4- Evaluating Expressions
11) (2 + y - x); use x = 4 and y = 6
13) P(+²); use a = 7 and p=6
6
5-Solving Inequalities
16) 1 ≤
10 11 12
18) 6v> 54
13 14 15 16 17 18
8 9 10 11 12 15 14 15 16 17 18
12)3(8a-5b)-2(a + b); use a = 3 and b = 2
14) 3m-2+
use m = 5 and n = 6
17) 20 19) 82/2
4
14 15 16 17 15
9 10 11 12
14 15 16 17 15

Answers

Answer:

The answer is 4'

Step-by-step explanation:

The answer is 4, 123456789, 6 12, 18, 24, 30, 36, 42, 48.

Other Questions
Given: f(x) = 2x + 5 and g(x) = x and h(x) = -2xh(g(f(x))) =RETRYX +X + When calculating the net operating income of a property it is important to identify:______ Piaget argued that infants acquire knowledge through:__________a) sensation. b) facts communicated by others. c) action. d) perception. What does research suggest about the relationship between goals and consciousness? Suppose each edge of the cube shown in the figure is 10 inches long. Find the sine and cosine of the angle formed by diagonals DE and DG. Solute s has a distribution constant of 5. 0 between water (phase 1) and hexane (phase 2). calculate the concentration of solute s in hexane if [s]water is 0. 011 m. The following information is available for Brownstone Products Company for the month of July: ActualMaster BudgetUnits3,5004,000Sales revenue$ 54,300$ 60,000Variable manufacturing costs10,00016,000Fixed manufacturing costs13,00014,000Variable selling and administrative expenses6,5008,000Fixed selling and administrative expenses8,0009,100Required:1. What was the master budget variance for July? Was this variance favorable or unfavorable?2. Compute the July sales volume variance and the flexible-budget variance for the month, both in terms of contribution margin and in terms of operating income.4. Prepare pro-forma budgets for activities within its relevant range of operations. Prepare a flexible budget for each of the following two output levels:a. 3,560 units.b. 3,980 units. Two molecules of mercury oxide decompose into 2 molecules of mercury and 1 molecule of oxygen gas. Which of the followingequations correctly describes this reaction?(A) Pro(s)-> Pr(s) + O(g)(B) McO(s)-> 2 Mc(s) + O(g)(C) 2 MnO(s)-> 2 Mn(s) + 20(g)(D) 2 HgO(s)-> 2 Hg(1) + O(8)Select one:O a. AO b. BOC. CO d. D Anne can make 6 headbands 3/5 from meters of cloth. Which expression shows the amount of cloth needed to make 1 headband? What is the solution to the expression? Give the equation of a line that hasa. no x-interceptb. one x-intercept and one y-interceptc. an infinite number of x-intercepts.d. a y-intercept of -7. Evaluate the line integral 6 integral yzcosx ds x = t, y = cost, z = sint 0 < t < pi I need help, pls and thx __________ voting is an at-large system that permits voters to cast one or more votes for a single candidate Select the correct answer from each drop-down menu. complete the sentence to describe the distance and ruler postulates. between every pair of distinct points, there is a positive unique number called the , which can be determined as the of the corresponding real numbers of the two points. what is 11- 2 to the 3rd power One of the main factors that contribute to african american abstinence from drinking is? Which is the primary dietary consideration for a client receiving insulin isophane suspension (nph) at breakfast? For a certain company, the cost function for producing x items is C(x)=50x+100 and the revenue function for selling x items is R(x)=0.5(x100)2+5,000 . The maximum capacity of the company is 120 items.The profit function P(x) is the revenue function R(x) (how much it takes in) minus the cost function C(x) (how much it spends). In economic models, one typically assumes that a company wants to maximize its profit, or at least make a profit!Answers to some of the questions are given below so that you can check your work.Assuming that the company sells all that it produces, what is the profit function?P(x)= A special order generally should be accepted if: Select one: a. its revenue exceeds allocated fixed costs, regardless of the variable costs associated with the order. b. excess capacity exists and the revenue exceeds all variable costs associated with the order. c. excess capacity exists and the revenue exceeds allocated fixed costs. d. the revenue exceeds total costs, regardless of available capacity. e. the revenue exceeds variable costs, regardless of available capacity. Over a 10-year period, Rebecca goes tocollege for 4 years and works for the next6, while Mark works for the full 10 years.Rebecca earns twice as much as Markafter she graduates.